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Finding the Fourth Proportional to 16,003.24, 23,986.29 and 7,575.12

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Solution

The fourth proportional to 16,003.24, 23,986.29 and 7,575.12 is: 11,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.24 : 23,986.29 = 7,575.12 : x
  2. Step 2: Convert to fraction form
    16,003.24/23,986.29 = 7,575.12/x
  3. Step 3: Cross multiply
    16,003.24x = 23,986.29 × 7,575.12
  4. Step 4: Simplify right side
    16,003.24x = 181,699,053.51
  5. Step 5: Solve for x
    x = 181,699,053.51/16,003.24
  6. Step 6: Final answer
    x = 11,353.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.